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Finding the Fourth Proportional to 2,019.10, 3,029.10 and 1,581.70

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Solution

The fourth proportional to 2,019.10, 3,029.10 and 1,581.70 is: 2,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.10 : 3,029.10 = 1,581.70 : x
  2. Step 2: Convert to fraction form
    2,019.10/3,029.10 = 1,581.70/x
  3. Step 3: Cross multiply
    2,019.10x = 3,029.10 × 1,581.70
  4. Step 4: Simplify right side
    2,019.10x = 4,791,127.47
  5. Step 5: Solve for x
    x = 4,791,127.47/2,019.10
  6. Step 6: Final answer
    x = 2,372.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.